# 3D Figures

## Overview

We can represent three-dimensional figures on coordinate planes using nets. Nets are made up of rectangles and triangles. They help us calculate the surface area

For example…

We can draw the cube as a two-dimensional shape using graph paper. Draw the shape as if it were lying flat and open.

Find the area of each part of the shape. Then add all of the areas together.

For this example, each shape is a square. The formula for finding the area of a square is area = (side)2. However, by using graph paper, we can simply count the units in each square.

The surface area of the cube is

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What is the surface area for the cube represented by the net below?

24

4 + 4 + 4 + 4 + 4 + 4

Find the surface area of the cube below using its net.

**Hint:** Squared units are always used to represent area.

30

5 + 5 + 5 + 5 + 5 + 5

Find the surface area of the cube below using its net.

12

2 + 2 + 2 + 2+ 2 + 2

Find the surface area of the cube below using its net.

24

4 + 4 + 4 + 4 + 4 + 4

What is the surface area for the pyramid represented by the net below?

12

First determine the surface area of the square, which is 4. Then calculate the surface area of each triangles, which is 2 12

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